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- W2316840276 abstract "The object of this chapter is to present a coarse graining method, which provides lower bounds on the bottom of the Dirichlet spectrum of the Laplacian in regions receiving many small and possibly random obstacles. This technique will for instance turn out to be very helpful in the study of various problems related to Poissonian obstacles. The method is outlined in Section 1. The results are then developed in Section 2 (eigenvalue estimates) and Section 3 (capacity and volume estimates). Section 4 gives several applications of the method to the study of principal Dirichlet eigenvalues of the Laplacian with Poissonian obstacles, in arbitrary dimension. In Section 5 we apply the method to investigate the long time behavior of certain quenched and annealed Wiener expectations." @default.
- W2316840276 created "2016-06-24" @default.
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- W2316840276 date "1998-01-01" @default.
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- W2316840276 title "The Method of Enlargement of Obstacles" @default.
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- W2316840276 doi "https://doi.org/10.1007/978-3-662-11281-6_4" @default.
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